Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Home
Hostname: page-component-55597f9d44-mzfmx Total loading time: 0.287 Render date: 2022-08-08T07:01:58.120Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "useRatesEcommerce": false, "useNewApi": true } hasContentIssue true
  • English
Mathematical Structures in Computer Science Mathematical Structures in Computer Science

Article contents

From λ to π; or, Rediscovering continuations

Published online by Cambridge University Press:  01 August 1999

DAVIDE SANGIORGI
DAVIDE SANGIORGI
Affiliation:
INRIA-Sophia Antipolis, 2004 Rue des Lucioles, B.P. 93, 06902 Sophia Antipolis, France. Email: davide.sangiorgi@inria.fr.
Get access Rights & Permissions[Opens in a new window]

Abstract

We study the relationship between the encodings of the λ-calculus into π-calculus, the Continuation Passing Style (CPS) transforms, and the compilation of the Higher-Order π-calculus (HOπ) into π-calculus. We factorise the π-calculus encodings of (untyped as well as simply-typed) call-by-name and call-by-value λ-calculus into three steps: a CPS transform, the inclusion of CPS terms into HOπ and the compilation from HOπ to π-calculus. The factorisations are used both to derive the encodings and to prove their correctness.

Type
Research Article
Information
Mathematical Structures in Computer Science , Volume 9 , Issue 4 , August 1999 , pp. 367 - 401
Copyright
© 1999 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)
7
Cited by

Save article to Kindle

To save this article to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

From λ to π; or, Rediscovering continuations
Available formats
×

Save article to Dropbox

To save this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about saving content to Dropbox.

From λ to π; or, Rediscovering continuations
Available formats
×

Save article to Google Drive

To save this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you used this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about saving content to Google Drive.

From λ to π; or, Rediscovering continuations
Available formats
×
×

Reply to: Submit a response

Please enter your response.

Your details

Please enter a valid email address.

Conflicting interests

Do you have any conflicting interests? *